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Finding the Fourth Proportional to 478.76, 660.67 and 268.94

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Solution

The fourth proportional to 478.76, 660.67 and 268.94 is: 371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 660.67 = 268.94 : x
  2. Step 2: Convert to fraction form
    478.76/660.67 = 268.94/x
  3. Step 3: Cross multiply
    478.76x = 660.67 × 268.94
  4. Step 4: Simplify right side
    478.76x = 177,681.57
  5. Step 5: Solve for x
    x = 177,681.57/478.76
  6. Step 6: Final answer
    x = 371.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.